Let X_1, ..., X_n be a random sample from the Negative Binomial distribution f(x, p) = \binom{x - 1}{3 - 1}p^3 (1 - p)^{x - 3}, x = 3, 4, ... a. Derive the MLE \hat{p} of p, based on the distribution ...
Assume that Xi \sim Binomial(ni , p) for i = 1, 2 and X1 and X2 are independent. Find the conditional distribution of X1|(X1 + X2). Let X \sim U(-1, 1) and Y \sim Exp(2), and suppose that X and Y a...